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Finding the Fourth Proportional to 8,946.04, 13,408.10 and 6,343.50

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Solution

The fourth proportional to 8,946.04, 13,408.10 and 6,343.50 is: 9,507.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,946.04 : 13,408.10 = 6,343.50 : x
  2. Step 2: Convert to fraction form
    8,946.04/13,408.10 = 6,343.50/x
  3. Step 3: Cross multiply
    8,946.04x = 13,408.10 × 6,343.50
  4. Step 4: Simplify right side
    8,946.04x = 85,054,282.35
  5. Step 5: Solve for x
    x = 85,054,282.35/8,946.04
  6. Step 6: Final answer
    x = 9,507.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.